$$ \begin{aligned} \frac{1}{x} &= 12&& \text{multiply ALL terms by } \color{blue}{ x }. \\[1 em]x\cdot\frac{1}{x} &= x\cdot12&& \text{cancel out the denominators} \\[1 em]1 &= 12x&& \text{ swap the left and right side of the equation } \\[1 em]12x &= 1&& \text{ divide both sides by $ 12 $ } \\[1 em]x &= \frac{1}{12}&& \\[1 em] \end{aligned} $$
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